Finding the Third Proportional to 14,414 and 31,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,414 : 31,288.50 = 31,288.50 : x
2. Step 2: Convert to fraction form
   14,414/31,288.50 = 31,288.50/x
3. Step 3: Cross multiply
   14,414x = 31,288.50 × 31,288.50
4. Step 4: Simplify right side
   14,414x = 978,970,232.25
5. Step 5: Solve for x
   x = 978,970,232.25/14,414
6. Step 6: Final answer
   x = 67,918.01